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What is a shape with six corners?

When a hexagon has six equal sides and angles, it is called a regular hexagon. When the sides and angles are not equal, it is called an irregular hexagon. Irregular hexagons can even be concave, meaning some of the angles point inward instead of outward.\nIn a regular hexagon, each of the inside angles measures 120 degrees. All the inside angles add up to 720 degrees, which is true even of an irregular hexagon. The formula to find the sum of the interior angles of any polygon is the number of sides minus two, then multiplied by 180 degrees. Because a hexagon has six sides, the formula says to ..

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How do you calculate winning percentages?

If the number of wins and number of losses are known, the total number of games can be derived by adding the number of wins and number of losses. If ties are also possible, then the total number of games is the sum of wins, losses and ties.\nIf ties are not possible, dividing the number of wins by number of games played calculates the winning percent in decimal form. If ties are possible, then a tie typically counts as half a win and half a loss. In such a case, the winning percentage is equivalent to (number of wins + 1/2 * number of ties) / total games played.\nTo derive winning percent as ..

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How much does railroad track weigh per foot?

Most railroad track weighed around 80 pounds per yard in the 1800s, but as trains got heavier, track also had to get heavier. Track weighing less than 100 pounds per yard (33.33 pounds per foot) is used for light trains, such as subways. Most railroad track in the United States ranges between 112 and 140 pounds per yard, and track weight is typically measured by the yard.

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What are mathematical phrases?

Mathematical expressions or phrases may contain variables. Variables are symbols used to represent numbers. Values of the number can change depending on other numbers and variables in the expression. Expressions may be numerical or algebraic. Numerical expressions contain only numbers. An example of such an expression is 9 + 8, and is represented by a single number, 17. Algebraic expressions consist of numbers and variables. An example of an algebraic expression is 9 + x.\nWhen working with math expressions, it is sometimes necessary to simplify the expression. This involves combining similar ..

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What is numerical data?

Numerical data can be broken down into two different categories: discrete and continuous data. Discrete numerical data is data that has a finite ending or can be counted. By definition, it can only be certain values. For example, the number of pencils in a box represents discrete data.\nContinuous numerical data, on the other hand, represents values with infinite possibilities, such as the weight of an elephant. An elephant could weigh any number of pounds. Continuous data is placed within reasonable ranges to make it measurable.

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How is algebra used in real life?

Algebra is used regularly when figuring finances either for a home or business. Engineering and scientific fields also use algebra daily in their lines of work. When looking to make a major purchase and comparing rates of interest, algebra is used. Algebraic equations must be used to determine the exact price after calculating the purchase price plus financing.\nWhen searching for cell phone providers with contracts, consumers weigh the pros and cons to determine the differences between cell phone providers. Possibly using graphs in combination with algebraic calculations to understand all the..

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What is the partial products method used in math?

The partial products method breaks up a number into its powers of ten, such as its ones, tens and hundreds components, multiplying each component by each component of the other number, and then summing each product together to find the final result.\nFor example, multiplying 67 by 53 is the same as multiplying (60 + 7) by (50 + 3). By this method, the student multiplies each component of the first number by each component of the second number and sums the result. In this case, (60*50) + (7*50) + (60*3) + (7*3) = 3000 + 350 + 180 + 21 = 3551.

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What is regrouping in math?

When subtracting numbers with more than one digit, write down the larger number first, followed by the smaller number directly below it. For instance, write 15 below when subtracting it from 32. Since 2 is smaller than 5, by regrouping, two becomes 12 when a 10 is borrowed from three on the column to the left. Likewise, 3 loses 1 to become 2. Subtracting 5 from 12 above it on the right column and 1 from 2 on the left column gives 17 as the answer to 32 - 15.

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What is proof by induction?

The first part of a proof by induction establishes the base case. This is the case that applies the proposition to the first natural number. The first natural number is either 0 or 1 depending on how this set of numbers is defined. In this part of the proof, the mathematician shows that the proposition is true for this number.\nIt would be impossible to write a new proof for each of the remaining natural numbers, because the natural numbers are infinite. And showing the proposition to be true for many of the natural numbers, such as all the numbers up to 50 or up to 100, would not be logically..

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In algebra, what is a constant term?

An algebraic expression consists of variables and constants written in a phrase. For example, x+3 is an algebraic expression. The x is a variable because it can have more than one value, but 3 is a constant because its value is always the same.Examining an expression makes it easier to understand the difference between variables and constants. In the expression 2x+2, it is possible to replace x with any real number. The value of 2x depends on what value is assigned to x. The 2 in the second part of the expression never changes, which is what makes it a constant.

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